Anomalous scaling at the quantum critical point in itinerant antiferromagnets

Ar Abanov; A. Chubukov

doi:10.1103/PhysRevLett.93.255702

Anomalous scaling at the quantum critical point in itinerant antiferromagnets

Ar Abanov, A. Chubukov

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

99 Scopus citations

Abstract

Quantum phase transitions (QPT) were investigated to show that the Hertz φ⁴ theory of quantum criticality is incomplete as it misses anomalous nonlocal contributions to the interaction vertices. The theory was found to be renormalizable for antiferromagnetic quantum transitions only if the dynamical exponent z=2. The Gaussian fixed point was found to split into two non-Gaussian fixed points for d<2. The results show that for both fixed points, the dynamical exponent remains z=2.

Original language	English (US)
Article number	255702
Journal	Physical review letters
Volume	93
Issue number	25
DOIs	https://doi.org/10.1103/PhysRevLett.93.255702
State	Published - Dec 17 2004

Bibliographical note

Funding Information:
We acknowledge stimulating conversations with A. G. Abanov, I. Gruzberg, O. Starykh, and I. Vekhter. The work of Ar. A. was supported by the Oppenheimer Fellowship in Los Alamos. A. Ch. acknowledges support from NSF DMR 0240238. We thank the Aspen Center for Physics for hospitality.

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abstract = "Quantum phase transitions (QPT) were investigated to show that the Hertz φ4 theory of quantum criticality is incomplete as it misses anomalous nonlocal contributions to the interaction vertices. The theory was found to be renormalizable for antiferromagnetic quantum transitions only if the dynamical exponent z=2. The Gaussian fixed point was found to split into two non-Gaussian fixed points for d<2. The results show that for both fixed points, the dynamical exponent remains z=2.",

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Anomalous scaling at the quantum critical point in itinerant antiferromagnets

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